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Finding the Fourth Proportional to 1,903.70, 2,855.53 and 517.17

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Solution

The fourth proportional to 1,903.70, 2,855.53 and 517.17 is: 775.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.70 : 2,855.53 = 517.17 : x
  2. Step 2: Convert to fraction form
    1,903.70/2,855.53 = 517.17/x
  3. Step 3: Cross multiply
    1,903.70x = 2,855.53 × 517.17
  4. Step 4: Simplify right side
    1,903.70x = 1,476,791.86
  5. Step 5: Solve for x
    x = 1,476,791.86/1,903.70
  6. Step 6: Final answer
    x = 775.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.